Relativistic duality, and relativistic and radiative corrections for heavy-quark systems
Journal Article
·
· Phys. Rev. D; (United States)
We give a JWKB proof of a relativistic duality relation which relates an appropriate energy average of the physical cross section for e/sup +/e/sup -/..-->..qq-bar bound states..-->..hadrons to the same energy average of the perturbative cross section for e/sup +/e/sup -/..-->..qq-bar. We show that the duality relation can be used effectively to estimate relativistic and radiative corrections for bound-quark systems to order ..cap alpha../sub s//sup ts2/. We also present a formula which relates the square of the ''large'' /sup 3/S/sub 1/ Salpeter-Bethe-Schwinger wave function for zero space-time separation of the quarks to the square of the nonrelativistic Schroedinger wave function at the origin for an effective potential which reproduces the relativistic spectrum. This formula allows one to use the nonrelativistic wave functions obtained in potential models fitted to the psi and UPSILON spectra to calculate relativistic leptonic widths for qq-bar states via a relativistic version of the van Royen--Weisskopf formula.
- Research Organization:
- Physics Department, University of Wisconsin: Madison, Madison, Wisconsin 53706
- OSTI ID:
- 5194746
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:9; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Short-time perturbation theory and nonrelativistic duality
Duality for heavy-quark systems. II. Coupled channels
Production of four hevy quarks and bound states in the processes e{sup +}e{sup -} {yields} Q + {bar Q}{prime} + Q{prime} + {bar Q} and e{sup +}e{sup -} {yields} (Q{bar Q}{prime}) + Q{prime} + {bar Q} at the Z{sup 0}-boson pole
Journal Article
·
Mon Aug 01 00:00:00 EDT 1983
· Phys. Rev. D; (United States)
·
OSTI ID:5886218
Duality for heavy-quark systems. II. Coupled channels
Journal Article
·
Tue Mar 31 23:00:00 EST 1981
· Phys. Rev., D; (United States)
·
OSTI ID:6789919
Production of four hevy quarks and bound states in the processes e{sup +}e{sup -} {yields} Q + {bar Q}{prime} + Q{prime} + {bar Q} and e{sup +}e{sup -} {yields} (Q{bar Q}{prime}) + Q{prime} + {bar Q} at the Z{sup 0}-boson pole
Journal Article
·
Sat Dec 31 23:00:00 EST 1994
· Physics of Atomic Nuclei
·
OSTI ID:81241
Related Subjects
645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOUND STATE
CORRECTIONS
DUALITY
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
POSTULATED PARTICLES
QUARKS
RADIATIVE CORRECTIONS
RELATIVITY THEORY
SPACE-TIME
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOUND STATE
CORRECTIONS
DUALITY
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
POSTULATED PARTICLES
QUARKS
RADIATIVE CORRECTIONS
RELATIVITY THEORY
SPACE-TIME